Information on Result #724097
Linear OA(2551, 624, F25, 26) (dual of [624, 573, 27]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {7,8,…,32}, and designed minimum distance d ≥ |I|+1 = 27
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2551, 323, F25, 2, 26) (dual of [(323, 2), 595, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (25, 51, 323)-net over F25 | [i] | ||
| 3 | Linear OA(2583, 669, F25, 36) (dual of [669, 586, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2588, 674, F25, 37) (dual of [674, 586, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2587, 672, F25, 37) (dual of [672, 585, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2582, 667, F25, 36) (dual of [667, 585, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(2586, 670, F25, 37) (dual of [670, 584, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(2589, 670, F25, 38) (dual of [670, 581, 39]-code) | [i] | ✔ | |